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inysia [295]
3 years ago
14

Please answer please please answer need the answer

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
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I don't know if this is right... please someone help mee
worty [1.4K]
For the first circle, let's use the pythagorean theorem

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17

now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.

 so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.

when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.



now, let's check for second circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938

well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.



let's check the third circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}

this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
6 0
3 years ago
Which best explains why this triangle is or is not a right triangle?
olchik [2.2K]

Answer:

D

Step-by-step explanation:

If it is a right triangle, by pythagorous theorem, 39^2 = 36^2 + 15^2

or, 36^2 + 15^2 - 39^2 = 0

6 0
3 years ago
Read 2 more answers
Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A. Credit Card Debt B. Child Support C. Alimony D. A
a_sh-v [17]
Chapter 7 - Bankruptcy is a very beneficial means for those facing severe financial uncertainty or debts. And even though it cannot remove all your liability, it can help you eliminate a number of arrears so you can begin working to reestablish your credit score. These are the debts which are not forgiven in Chapter 7: student loans, child support, alimony payments, majority of taxes you owe and secured or collateral debts.

So the answer is A. Credit Card. A credit card debt can be forgiven under chapter 7 because it is the main reason why people file for bankruptcy just to discharge their credit card balance.
4 0
3 years ago
Read 2 more answers
We are learning how to find the volume of a prism. Look at the picture and please help me understand it I need the answer
Arturiano [62]
The volume is 96. 
v=l*w*h
v=6*3*3=54
v=2*3*7=42
54+42=96

Hope this helps 

6 0
3 years ago
I don't understand how to further answer the question. Can somebody explain with an image of the work??
STatiana [176]
-3x^2+12x-15=0
-3x^2+12x       =15
-3x^2+12x+36=15
4 0
3 years ago
Read 2 more answers
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